52 ideas
9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
13047 | It is knowing 'why' that gives scientific understanding, not knowing 'that' [Salmon] |
13065 | Understanding is an extremely vague concept [Salmon] |
2713 | Are sense-data independent, with identity, substance and location? [Tye] |
13054 | Correlations can provide predictions, but only causes can give explanations [Salmon] |
13067 | For the instrumentalists there are no scientific explanations [Salmon] |
13055 | Good induction needs 'total evidence' - the absence at the time of any undermining evidence [Salmon] |
13046 | Scientific explanation is not reducing the unfamiliar to the familiar [Salmon] |
13058 | Why-questions can seek evidence as well as explanation [Salmon] |
14366 | An explanation is a table of statistical information [Salmon, by Strevens] |
13064 | The three basic conceptions of scientific explanation are modal, epistemic, and ontic [Salmon] |
13050 | The 'inferential' conception is that all scientific explanations are arguments [Salmon] |
13059 | Ontic explanations can be facts, or reports of facts [Salmon] |
13049 | We must distinguish true laws because they (unlike accidental generalizations) explain things [Salmon] |
13051 | Deductive-nomological explanations will predict, and their predictions will explain [Salmon] |
13053 | A law is not enough for explanation - we need information about what makes a difference [Salmon] |
13061 | Flagpoles explain shadows, and not vice versa, because of temporal ordering [Salmon] |
17093 | Causation produces productive mechanisms; to understand the world, understand these mechanisms [Salmon] |
17492 | Salmon's interaction mechanisms needn't be regular, or involving any systems [Glennan on Salmon] |
13045 | Explanation at the quantum level will probably be by entirely new mechanisms [Salmon] |
13062 | Does an item have a function the first time it occurs? [Salmon] |
13063 | Explanations reveal the mechanisms which produce the facts [Salmon] |
16557 | Salmon's mechanisms are processes and interactions, involving marks, or conserved quantities [Salmon, by Machamer/Darden/Craver] |
13060 | Can events whose probabilities are low be explained? [Salmon] |
13056 | Statistical explanation needs relevance, not high probability [Salmon] |
13057 | Think of probabilities in terms of propensities rather than frequencies [Salmon] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
8412 | A causal interaction is when two processes intersect, and correlated modifications persist afterwards [Salmon] |
8413 | Cause must come first in propagations of causal interactions, but interactions are simultaneous [Salmon] |
8411 | Instead of localised events, I take enduring and extended processes as basic to causation [Salmon] |
4784 | Salmon says processes rather than events should be basic in a theory of physical causation [Salmon, by Psillos] |
8409 | Probabilistic causal concepts are widely used in everyday life and in science [Salmon] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |